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13032322233024 = 2631132081288649
BaseRepresentation
bin1011110110100101001011…
…1011111111001011000000
31201010212200221111002111010
42331221102323333023000
53202010143442424044
643414544410120520
72513361044141043
oct275512273771300
951125627432433
1013032322233024
114174a8216a876
121565902420140
13736c341ab2a3
14330aa6a48c5a
151790020c4bb9
hexbda52eff2c0

13032322233024 has 112 divisors (see below), whose sum is σ = 34803334101600. Its totient is φ = 4303580037120.

The previous prime is 13032322233023. The next prime is 13032322233067. The reversal of 13032322233024 is 42033222323031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13032322232982 and 13032322233000.

It is not an unprimeable number, because it can be changed into a prime (13032322233023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45005052 + ... + 45293700.

Almost surely, 213032322233024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032322233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17401667050800).

13032322233024 is an abundant number, since it is smaller than the sum of its proper divisors (21771011868576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13032322233024 is a wasteful number, since it uses less digits than its factorization.

13032322233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290858 (or 290848 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 13032322233024 its reverse (42033222323031), we get a palindrome (55065544556055).

The spelling of 13032322233024 in words is "thirteen trillion, thirty-two billion, three hundred twenty-two million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2081 2712 3616 4162 5424 6243 7232 8324 10848 12486 16648 21696 24972 33296 49944 66592 99888 133184 199776 235153 288649 399552 470306 577298 705459 865947 940612 1154596 1410918 1731894 1881224 2309192 2821836 3463788 3762448 4618384 5643672 6927576 7524896 9236768 11287344 13855152 15049792 18473536 22574688 27710304 32617337 45149376 55420608 65234674 97852011 130469348 195704022 260938696 391408044 521877392 600678569 782816088 1043754784 1201357138 1565632176 1802035707 2087509568 2402714276 3131264352 3604071414 4805428552 6262528704 7208142828 9610857104 14416285656 19221714208 28832571312 38443428416 57665142624 67876678297 115330285248 135753356594 203630034891 271506713188 407260069782 543013426376 814520139564 1086026852752 1629040279128 2172053705504 3258080558256 4344107411008 6516161116512 13032322233024